diff --git a/asks/faketelegram_test.go b/asks/faketelegram_test.go
index 1ad1a1d..15fadd9 100644
--- a/asks/faketelegram_test.go
+++ b/asks/faketelegram_test.go
@@ -27,6 +27,11 @@ type fakeTelegram struct {
 	msgID   int64
 	taps    int // answerCallbackQuery calls
 	deleted int
+	// toasts are the words a tap's acknowledgement showed over the chat (answerCallbackQuery), by the chat the
+	// tap came from: what the phone shows the tapper and never puts in the chat. Kept apart from sent, so a
+	// chat's messages stay what the chat holds.
+	toasts   []tgMessage
+	tappedIn map[string]int64 // a tap's callback id to the chat it came from
 }
 
 // tgMessage is one message the bot sent or edited: its chat, its id, its words and its buttons (label →
@@ -108,9 +113,18 @@ func (f *fakeTelegram) serve(w http.ResponseWriter, r *http.Request) {
 		f.t.Logf("phone: %s to %d (#%d): %q %v", method, chat, m.ID, firstLine(text), m.Buttons)
 		ok(map[string]any{"message_id": m.ID, "chat": map[string]any{"id": chat, "type": "private"}, "text": text})
 	case "answerCallbackQuery":
+		id, _ := body["callback_query_id"].(string)
+		text, _ := body["text"].(string)
 		f.mu.Lock()
 		f.taps++
+		chat, known := f.tappedIn[id]
+		if known && text != "" {
+			f.toasts = append(f.toasts, tgMessage{Chat: chat, Text: text, At: time.Now()})
+		}
 		f.mu.Unlock()
+		if text != "" {
+			f.t.Logf("phone: answerCallbackQuery %s in %d: %q", id, chat, firstLine(text))
+		}
 		ok(true)
 	case "deleteMessage":
 		f.mu.Lock()
@@ -152,7 +166,14 @@ func (f *fakeTelegram) tapped(from int64, chat int64, chatType string, onMessage
 // tappedOn is a tap on a message showing the words given: what a message changed under the operator's thumb,
 // or forwarded and edited elsewhere, carries.
 func (f *fakeTelegram) tappedOn(from int64, chat int64, chatType string, onMessage int64, data, text string) {
-	f.push(map[string]any{"callback_query": map[string]any{"id": fmt.Sprintf("cb-%d", f.nextID()), "data": data,
+	id := fmt.Sprintf("cb-%d", f.nextID())
+	f.mu.Lock()
+	if f.tappedIn == nil {
+		f.tappedIn = map[string]int64{}
+	}
+	f.tappedIn[id] = chat
+	f.mu.Unlock()
+	f.push(map[string]any{"callback_query": map[string]any{"id": id, "data": data,
 		"from": map[string]any{"id": from, "is_bot": false, "first_name": fmt.Sprintf("Account %d", from)},
 		"message": map[string]any{"message_id": onMessage, "text": text,
 			"chat": map[string]any{"id": chat, "type": chatType}}}})
@@ -197,6 +218,26 @@ func (f *fakeTelegram) waitFor(what string, chat int64, since time.Time, within
 	return tgMessage{}
 }
 
+// toldTapper waits for words the phone showed in a chat at or after a time, as a message in it or as a tap's
+// acknowledgement over it: where the channel says the router's word on a tap (issue 372).
+func (f *fakeTelegram) toldTapper(what string, chat int64, since time.Time, within time.Duration, match func(string) bool) string {
+	f.t.Helper()
+	deadline := time.Now().Add(within)
+	for time.Now().Before(deadline) {
+		f.mu.Lock()
+		for _, m := range append(append([]tgMessage{}, f.sent...), f.toasts...) {
+			if m.Chat == chat && !m.At.Before(since) && match(m.Text) {
+				f.mu.Unlock()
+				return m.Text
+			}
+		}
+		f.mu.Unlock()
+		time.Sleep(100 * time.Millisecond)
+	}
+	f.t.Fatalf("the phone never showed %s (chat %d) within %s; it showed:\n%s", what, chat, within, f.transcript())
+	return ""
+}
+
 // since is every message to a chat sent at or after a time.
 func (f *fakeTelegram) since(chat int64, at time.Time) []tgMessage {
 	f.mu.Lock()
@@ -218,6 +259,9 @@ func (f *fakeTelegram) transcript() string {
 		fmt.Fprintf(&b, "  %s to %d #%d edited=%v %q %v\n", m.At.Format("15:04:05.000"), m.Chat, m.ID, m.Edited,
 			firstLine(m.Text), m.Buttons)
 	}
+	for _, m := range f.toasts {
+		fmt.Fprintf(&b, "  %s to %d tap acknowledged %q\n", m.At.Format("15:04:05.000"), m.Chat, firstLine(m.Text))
+	}
 	return b.String()
 }
 
diff --git a/asks/proof_test.go b/asks/proof_test.go
index 19feac0..1343f10 100644
--- a/asks/proof_test.go
+++ b/asks/proof_test.go
@@ -178,11 +178,15 @@ func TestTheOperatorsAnswerEndToEnd(t *testing.T) {
 	})
 
 	// --- 4. A replayed tap, and a redelivered warrant, do nothing more.
+	// The replay is the operator's own answer again: the router says it is the one already recorded (on the tap's
+	// acknowledgement, issue 372), not refused as if the approval failed, and it is no second warrant or act.
 	t.Run("a replayed tap and a redelivered warrant do nothing more", func(t *testing.T) {
 		tapped := time.Now()
 		l.tg.tapped(operatorAccount, operatorAccount, "private", firstMessage.ID, button(firstMessage, "Approve"))
-		l.tg.waitFor("the refusal of a replayed tap", operatorAccount, tapped, 90*time.Second,
-			func(m tgMessage) bool { return strings.Contains(m.Text, "That answer was not taken") })
+		l.tg.toldTapper("that a replayed tap is the answer already recorded", operatorAccount, tapped, 90*time.Second,
+			func(text string) bool {
+				return strings.Contains(text, "You already chose Approve") && strings.Contains(text, "recorded")
+			})
 		time.Sleep(2 * time.Second)
 		if n := a.wordsOn("a1"); n != 1 {
 			t.Errorf("the router said %d words on one ask", n)